What is the Greatest Common Factor of 80032 and 80052?

Greatest common factor (GCF) of 80032 and 80052 is 4.

GCF(80032,80052) = 4

We will now calculate the prime factors of 80032 and 80052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80032 and 80052.

How to find the GCF of 80032 and 80052?

We will first find the prime factorization of 80032 and 80052. After we will calculate the factors of 80032 and 80052 and find the biggest common factor number .

Step-1: Prime Factorization of 80032

Prime factors of 80032 are 2, 41, 61. Prime factorization of 80032 in exponential form is:

80032 = 2⁵ × 41¹ × 61¹

Step-2: Prime Factorization of 80052

Prime factors of 80052 are 2, 3, 7, 953. Prime factorization of 80052 in exponential form is:

80052 = 2² × 3¹ × 7¹ × 953¹

Step-3: Factors of 80032

List of positive integer factors of 80032 that divides 80032 without a remainder.

1, 2, 4, 8, 16, 32, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 1312, 1952, 2501, 5002, 10004, 20008, 40016

Step-4: Factors of 80052

List of positive integer factors of 80052 that divides 80032 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 953, 1906, 2859, 3812, 5718, 6671, 11436, 13342, 20013, 26684, 40026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80032 and 80052. The biggest common factor number is the GCF number.
So the greatest common factor 80032 and 80052 is 4.

Also check out the Least Common Multiple of 80032 and 80052